Pursuit/Evasion Voronoi Diagrams∗
نویسنده
چکیده
In typical 2D Voronoi diagrams, the distance from a site to a point in the plane is unaffected by the existance of other sites. In 2D pursuit/evasion Voronoi diagrams, the distance from an evader to a point is the length of the shortest path to that point that avoids all pursuers. Since pursuers can move, the paths that evaders follow to reach certain points in the plane can be quite complicated. We consider the problem of calculating the 2D pursuit/evasion Voronoi diagram, in the presence of obtacles, using the L1 distance metric.
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